{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Fourier Transforms_Ch1.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyNGsWMgONCMaVO33zU5ouwx",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Divyanshu-ISM/Machine-Learning-Deep-Learning/blob/main/Fourier_Transforms_Ch1.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6pXwHqzEefJe"
      },
      "source": [
        "#Fourier Transforms - CH-1\n",
        "\n",
        "This is the first notebook in a series of notebooks where I'll be trying to get an intuition behind Fourier Transforms and their applications in Machine Learning and Signal Processing as we deal with Predictive analytics projects. \n",
        "\n",
        "> Divyanshu Vyas | https://www.linkedin.com/in/divyanshu-vyas/"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AZ-flR0JXi76"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "na44OCgHXq3I"
      },
      "source": [
        "pi = np.pi\n",
        "\n",
        "t_axis = np.linspace(0,4*pi, 100)\n",
        "\n",
        "f_t = np.ones(len(t_axis))*3\n",
        "\n",
        "maxs = [(pi,2*pi), (3*pi, 4*pi)]\n",
        "\n",
        "f_t[(t_axis>=pi) & (t_axis<=2*pi) ] = 0\n",
        "f_t[(t_axis>=3*pi) & (t_axis<=4*pi)] = 0 "
      ],
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "ZE4j_AvdXyR8",
        "outputId": "2458870a-2d31-4a0c-f5c2-07d4e87f519f"
      },
      "source": [
        "plt.plot(t_axis, f_t)"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fe81db07850>]"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DtHWQ5WQZDmn"
      },
      "source": [
        "def fourier_approx(num_terms = 5, t=t_axis):\n",
        "\n",
        "  y = 3/2\n",
        "  \n",
        "  for n in range(1,num_terms+1):\n",
        "\n",
        "    if n%2 != 0:\n",
        "\n",
        "      y_n = (6/n/np.pi)*np.sin(n*t) \n",
        "\n",
        "      y += y_n\n",
        "  \n",
        "  return y\n",
        "\n"
      ],
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "Lu9c6EaqZW2t",
        "outputId": "62a24445-7d93-4d39-ea47-bce857491751"
      },
      "source": [
        "y_f = fourier_approx(5)\n",
        "\n",
        "plt.plot(t_axis, f_t)\n",
        "plt.plot(t_axis, y_f)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fe81c8488d0>]"
            ]
          },
          "metadata": {},
          "execution_count": 35
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "Q4U-gKCJacrC",
        "outputId": "1a770e52-13d4-4e47-8cb1-8449498af8b7"
      },
      "source": [
        "y_f = fourier_approx(10)\n",
        "\n",
        "plt.plot(t_axis, f_t)\n",
        "plt.plot(t_axis, y_f)"
      ],
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fe81d1a6f10>]"
            ]
          },
          "metadata": {},
          "execution_count": 36
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "kUYClQy9apqO",
        "outputId": "69f9bd64-52dc-441c-cd44-d9e14e4f3e3b"
      },
      "source": [
        "y_f = fourier_approx(15)\n",
        "\n",
        "plt.plot(t_axis, f_t)\n",
        "plt.plot(t_axis, y_f)"
      ],
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fe81ca42d50>]"
            ]
          },
          "metadata": {},
          "execution_count": 37
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 492
        },
        "id": "Z7DsMwd9asqk",
        "outputId": "f9637ab5-ddde-402a-b12b-43e1a00c800a"
      },
      "source": [
        "plt.style.use('default')\n",
        "fig, ax = plt.subplots(2,3,True, True)\n",
        "fig.set_figheight(8) ; fig.set_figwidth(20)\n",
        "\n",
        "\n",
        "num_of_terms = [2,3,5]\n",
        "num_of_terms1 = [10,15,20]\n",
        "\n",
        "for i in range(3):\n",
        "\n",
        "  if i<=2:\n",
        "    ax[0,i].plot(t_axis, f_t, label='Actual Function', color='k', lw=3)\n",
        "    ax[0,i].plot(t_axis, fourier_approx(num_of_terms[i]), label='Fourier Approximation', color='red')\n",
        "    ax[0,i].set_title(f'Number of Terms = {num_of_terms[i]}')\n",
        "    ax[0,i].legend()\n",
        "    ax[0,i].grid()\n",
        "\n",
        "for i in range(3): \n",
        "\n",
        "\n",
        "    ax[1,i].plot(t_axis, f_t, label='Actual Function', color='k', lw=3)\n",
        "    ax[1,i].plot(t_axis, fourier_approx(num_of_terms1[i]), label='Fourier Approximation', color='red')\n",
        "    ax[1,i].set_title(f'Number of Terms = {num_of_terms1[i]}')\n",
        "    ax[1,i].legend()\n",
        "    ax[1,i].grid()\n",
        "\n",
        "\n",
        "plt.suptitle('Approximating a function with Sinusoids : Fourier Transforms', color='darkgreen', size=20)\n"
      ],
      "execution_count": 44,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0.98, 'Approximating a function with Sinusoids : Fourier Transforms')"
            ]
          },
          "metadata": {},
          "execution_count": 44
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 2000x800 with 6 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JkGB9Y7FbOX7"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}